A thin, rigid platform rotates about a central vertical axis with a constant angular…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A thin, rigid platform rotates about a central vertical axis with a constant angular speed of

\omega = 2.0\,\text{rad}\,\text{s}^{-1}

. Two small objects, A and B, are fixed to the platform so that they move in circles of radii

r_A = 0.40\,\text{m}

and

r_B = 1.2\,\text{m}

, respectively. (a) Calculate the linear (tangential) speed of each object. (b) Determine the ratio

v_B/v_A

of their linear speeds. (c) If the platform’s angular speed is increased by

50\%

, by what percentage does the linear speed of object B increase? Show all reasoning.